### Home > PC > Chapter 7 > Lesson 7.1.2 > Problem7-25

7-25.

Write an equation (if possible) of a parabola that satisfies the following conditions:

1. An even function.

Any parabola with a vertex on the $y$-axis. Example: $f\left(x\right) = x^{2} − 3$

2. An odd function.

Impossible

3. Neither even nor odd.

Any parabola with a vertex not on the $y$-axis. Example: $f\left(x\right) = 2x^{2} − 8x + 5$